HYPERTILING - 用于生成和可视化双曲网格的高性能 Python 库

IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Manuel Schrauth, Yanick Thurn, Florian Goth, Jefferson Portela, Dietmar Herdt, Felix Dusel
{"title":"HYPERTILING - 用于生成和可视化双曲网格的高性能 Python 库","authors":"Manuel Schrauth, Yanick Thurn, Florian Goth, Jefferson Portela, Dietmar Herdt, Felix Dusel","doi":"10.21468/scipostphyscodeb.34","DOIUrl":null,"url":null,"abstract":"HYPERTILING is a high-performance Python library for the generation and visualization of regular hyperbolic lattices embedded in the Poincar\\'e disk model. Using highly optimized, efficient algorithms, hyperbolic tilings with millions of vertices can be created in a matter of minutes on a single workstation computer. Facilities including computation of adjacent vertices, dynamic lattice manipulation, refinements, as well as powerful plotting and animation capabilities are provided to support advanced uses of hyperbolic graphs. In this manuscript, we present a comprehensive exploration of the package, encompassing its mathematical foundations, usage examples, applications, and a detailed description of its implementation.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"2022 1","pages":""},"PeriodicalIF":4.6000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"HYPERTILING — a high performance Python library for the generation and visualization of hyperbolic lattices\",\"authors\":\"Manuel Schrauth, Yanick Thurn, Florian Goth, Jefferson Portela, Dietmar Herdt, Felix Dusel\",\"doi\":\"10.21468/scipostphyscodeb.34\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"HYPERTILING is a high-performance Python library for the generation and visualization of regular hyperbolic lattices embedded in the Poincar\\\\'e disk model. Using highly optimized, efficient algorithms, hyperbolic tilings with millions of vertices can be created in a matter of minutes on a single workstation computer. Facilities including computation of adjacent vertices, dynamic lattice manipulation, refinements, as well as powerful plotting and animation capabilities are provided to support advanced uses of hyperbolic graphs. In this manuscript, we present a comprehensive exploration of the package, encompassing its mathematical foundations, usage examples, applications, and a detailed description of its implementation.\",\"PeriodicalId\":21682,\"journal\":{\"name\":\"SciPost Physics\",\"volume\":\"2022 1\",\"pages\":\"\"},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SciPost Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.21468/scipostphyscodeb.34\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SciPost Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.21468/scipostphyscodeb.34","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

HYPERTILING 是一个高性能 Python 库,用于生成和可视化嵌入 Poincar\'e 磁盘模型的规则双曲网格。利用高度优化的高效算法,在一台工作站计算机上几分钟内就能创建数百万顶点的双曲网格。为支持双曲图的高级应用,我们还提供了包括相邻顶点计算、动态网格操作、细化以及强大的绘图和动画功能在内的各种设施。在本手稿中,我们对该软件包进行了全面的探讨,包括其数学基础、使用示例、应用及其实现的详细说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
HYPERTILING — a high performance Python library for the generation and visualization of hyperbolic lattices
HYPERTILING is a high-performance Python library for the generation and visualization of regular hyperbolic lattices embedded in the Poincar\'e disk model. Using highly optimized, efficient algorithms, hyperbolic tilings with millions of vertices can be created in a matter of minutes on a single workstation computer. Facilities including computation of adjacent vertices, dynamic lattice manipulation, refinements, as well as powerful plotting and animation capabilities are provided to support advanced uses of hyperbolic graphs. In this manuscript, we present a comprehensive exploration of the package, encompassing its mathematical foundations, usage examples, applications, and a detailed description of its implementation.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
SciPost Physics
SciPost Physics Physics and Astronomy-Physics and Astronomy (all)
CiteScore
8.20
自引率
12.70%
发文量
315
审稿时长
10 weeks
期刊介绍: SciPost Physics publishes breakthrough research articles in the whole field of Physics, covering Experimental, Theoretical and Computational approaches. Specialties covered by this Journal: - Atomic, Molecular and Optical Physics - Experiment - Atomic, Molecular and Optical Physics - Theory - Biophysics - Condensed Matter Physics - Experiment - Condensed Matter Physics - Theory - Condensed Matter Physics - Computational - Fluid Dynamics - Gravitation, Cosmology and Astroparticle Physics - High-Energy Physics - Experiment - High-Energy Physics - Theory - High-Energy Physics - Phenomenology - Mathematical Physics - Nuclear Physics - Experiment - Nuclear Physics - Theory - Quantum Physics - Statistical and Soft Matter Physics.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信